The first step in order to understand the “Boats and Streams-Important Facts and Formulae” is to determine and understand several terms that are used in several formulas and questions. These terms are
Stream: The water that is flowing in a river or water body is called a Stream
Upstream: Upstream refers to the situation in which a boat is moving in the opposite direction of the flow of the stream.
Still Water: In this condition, the water body is not moving or still and the speed of the water body is null or zero.
Downstream: In this case, the boat and the water body are flowing in the same direction, unlike upstream.
Terms
As mentioned earlier there are four types of terms in the case of “Boats and Streams-Important Facts and Formulae”. These are Stream, Upstream, Downstream, and still water. Introduction to these terms is important prior to understanding the formulas.
The formula of Boat and streams
“Boats and Streams-Important Facts and Formulae” are important for solving the associated questions. Some important formulas include
Upstream |
(u−v) km/hr. |
Downstream |
(u+v)Km/hr |
The formula for the speed of a boat |
½ (Downstream Speed + Upstream Speed) |
Average boat’s speed |
{(Upstream Speed × Downstream Speed) / Boat’s Speed in Still Water} |
Speed of Stream |
½ (Downstream Speed – Upstream Speed) |
Speed of boat or swimmer in still water |
1/2 (Downstream Speed + Upstream Speed) |
The formulas that were mentioned are most commonly used in these exams. Besides these, there are various types of questions that require different formulas. In the case of “Boats and Streams-Important Facts and Formulae”, these additional formulas include
Calculation of the distance between the two given points present, if a boat moves “t:” hours to reach a point from a point and moves back to the same question the formula of the distance between these two points will be
Distance = {(u2-v2) × t} / 2u
On the other hand, for calculating the distance between two points is if a boat travels “t” hours more in order to go to a point upstream for the same distance the formula will be
Distance = {(u2-v2) × t} / 2v
Furthermore, for calculating the speed of a swimmer who is in the water and about is going downstream in “t1” hours and in the same way, returns the same distance in “t2” hours, the formula will be
v × {(t2+t1) / (t2-t1)}] km/hr
Where U is considered as the speed of the boat in water which has no flow and v is considered as speed of stream
Types of “Boats and Streams-Important Facts and Formulae” questions
The quantitative sections in the government exams cover “Boats and Streams-Important Facts and Formulae” do not involve the same type of questions. In this regard, there is 4 main types of questions that are based on the type, boat as well as formula
Time-based questions
In this case, the job is to calculate time in this type of question. In this regard, the time being taken by a boat for travelling downstream or upstream has to be calculated.
Average speed-based questions
These kinds of questions are considered the easiest and the simplest among the other four types. In this case, the speed of the upstream and downstream is mentioned in the question and the responsibility is to find out the average speed. In this case, the speed of other mentioned streams of one stream is given along with the average speed. Therefore, it is the job to calculate the
Speed-based questions
In this type of question, it is important to calculate the speed of a boat or the speed of the flow of a stream. Furthermore, in this case, it is important to find variations like the speed of the boat floating in the water.
Distance-based questions
The job, of this type of question, is to measure the distance travelled by boat either downstream or upstream. In this case, the time, stream as well as speed is already given, and by using the formula the upstream and downstream distance that is travelled has to be calculated.
Tips and tricks for solving questions
The questions and the concepts may prove to be confusing sometimes. However, once a concept is known clearly and all the tips and tricks are known it is easy to get a hang of the questions being asked. Therefore, several tips and tricks are given below that can be memorized in order to solve the questions easily and quickly. In this regard, memorizing these can help to answer directly without making any errors.
- The most important trick is that it is important to memorize all the formulas correctly and accurately.
- There should be no confusion between downstream and upstream even if a question involves both.
- Another important tip is to read the question carefully in order to ignore making small mistakes.
- It is important to make sure of the fact that the candidate is not panicking while reading the question. The terms that are used in the exams are mostly simple. In this regard, the formation or the structure of the question is complex.
Conclusion
“Boats and Streams-Important Facts and Formulae” are related questions in the quantitative sections and there are different types of sub-questions. These include “stream”, “upstream”, “Still water” and “Downstream”. On the other hand, terms are important in understanding the formulas and crucial in order to answer the questions.